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Lesson Plan

Determine if a system of two linear equations in two variables has no solution by graphing

teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8b
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Big Ideas: Graphs of linear systems having no solution have no point of intersection. Linear systems having the same slope but different y-intercepts have no solution. In this task, students will graph a system of linear equations and, in doing so, will recognize that the system has no solution because it shares no point of intersection. The task builds on students' understanding that when there is a point of intersection, one solution exists. The fact that the lines have the same slope and different y-intercepts will be highlighted as proof of why no point will simultaneously satisfy the system. This will reinforce students' understanding of the importance of the connections between slope, y-intercept, and solution for future lessons. Vocabulary: point of intersection, simultaneously, satisfies Special Materials: Graph paper
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